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Finding the Fourth Proportional to 252,522.35, 378,874.65 and 156,347.66

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Solution

The fourth proportional to 252,522.35, 378,874.65 and 156,347.66 is: 234,577.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,522.35 : 378,874.65 = 156,347.66 : x
  2. Step 2: Convert to fraction form
    252,522.35/378,874.65 = 156,347.66/x
  3. Step 3: Cross multiply
    252,522.35x = 378,874.65 × 156,347.66
  4. Step 4: Simplify right side
    252,522.35x = 59,236,164,960.82
  5. Step 5: Solve for x
    x = 59,236,164,960.82/252,522.35
  6. Step 6: Final answer
    x = 234,577.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.